——The basis for the derivation of the basic formula of the Lorentz transform, "the ruler shrinks the clock slowly", is valid in the kinematics system.
The above speculation shows how the ten-year-old Turing argues that the "slow clock" occurs in the same direction. The text adheres to the same system"The time at the same time must be equal".This simple, simple logical reasoning assigns the same time to the two simultaneous motions of the kinematic system, and relates them to the time of the stationary system. formed".Wait for Cheng to say halfway.", that is, the time of the moving system is equal to half of the simultaneous time of the stationary system, and the displacement of the light point of the moving system is exactly half of the travel of the light point of the stationary system (ensuring that the speed of light remains unchanged).
Using the time "abundance", the difference between the two velocities, it is deduced that the displacement of the simultaneous relative motion (left half) is smaller than the displacement of the light spot (right half). And "wait for the half-time to say" that the end points of the two systems are overlapping and simultaneous!But at the same time, the values are not the same. In this way, in the moving space, the sum of the displacement distance of the relative motion and the displacement distance of the light point motion a'b', less than the same distance length ab of the stationary system.
This is a "whimsy" that uses relative velocity to measure distances'to simultaneously measure the distance x at the speed of light', that is, "reconstruction, reproduction, simultaneity". In the case of reverse motion, it is not difficult to argue that "the ruler shrinks the clock slowly", and to follow the above.
But in the case of reverse motion, the coordinate origin of the motion system o'It is "jumped to the center point suddenly". It's logic!If this is not the case, the coordinate origin of the kinematic system is still at the moment of the lightning shock'(position a, which coincides with the origin o of the stationary system), the relative motion and the point motion start at the same time.
Since the relative motion is opposite to the direction of the point of motion (x-axis), its displacement is a negative value -ut', "plus minus is equal to minus positive". In this way, the displacement of the moving space is x'-ut'The stationary "ruler" is short. However, there is a "double standard" in the judgment rules. Because the time value and position value of the system are measured from the origin. And here the origin of the two systems coincides, and there must be x'=x, t'=t 。Obviously, the connotations are different.
The essence of our guess is t'< t, i.e., the time of the system at rest is greater than the time of the system of motion at the same time. Then there is reason to guess that as soon as the origin of the kinematic system passed in an instant, it jumped to the right to the ut, and used this site as the position of the origin of the kinematic system. In this way, as soon as the lightning strikes pass, the movement continues, and the point of light turns to the right;The relative movement is to the left, each performing its own duties and doing its own thing. However, in the moving space and the still space, x'< x, so t'< t (principle of invariance of the speed of light), further relative displacement has ut'< ut。So that there is still x'-ut'And the following is a new kind of proof-"Static system time positioning theory of the origin of the dynamic system".
That is, or simply think: at the self-coincidence position of the origin of the kinematic system, as soon as the moment passes, when t reaches the stationary system at the end point, the ut distance of the stationary system is moved. At the same time, the point of light moves x in the kinematics'=ct',t'。Not only provable x'+ut'
Is there any other way to prove that the "ruler is slow"?I thought it wasn't. What do you think?What method did the ten-year-old Turing use?Or do you use both?Furthermore, it has been proved that "slow ruler clock" is the first step. Did Turing further prove or derive the Lorentz transform fundamentals?It's also a mystery. But the world is very big, and ambition is not old. Physicist Landau went to college at the age of six.
The basis for deriving the basic formula of the Lorentz transform has been established, and the inequality of the "ruler" and the inequality of the "clock" have been proven. Both proofs have one thing in common, that is, the built-in origin of the kinematic system!Waiting for Cheng to say halfway, "I just chose the origin of the dynamic system on the middle point." Are they hard?Think about it, you say it again. How did Turing derive the basic formula of the Lorentz transformation?Guess first!